Pith Number

pith:BGVASE4N

pith:2018:BGVASE4NWD5AO6PE75Q5F2AWHZ

not attested not anchored not stored refs pending

NIP omega-categorical structures: the rank 1 case

Pierre Simon

arxiv:1807.07102 v5 · 2018-07-18 · math.LO · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGVASE4NWD5AO6PE75Q5F2AWHZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Trace definability I: preservation and characterizations

Receipt and verification

First computed	2026-07-05T04:44:38.339299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09aa09138db0fa0779e4ff61d2e8163e693ffb1314d0a29df42f9eb749244fd9

Aliases

arxiv: 1807.07102 · arxiv_version: 1807.07102v5 · doi: 10.48550/arxiv.1807.07102 · pith_short_12: BGVASE4NWD5A · pith_short_16: BGVASE4NWD5AO6PE · pith_short_8: BGVASE4N

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BGVASE4NWD5AO6PE75Q5F2AWHZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 09aa09138db0fa0779e4ff61d2e8163e693ffb1314d0a29df42f9eb749244fd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1c5e6aa0fa103a2c9b390bea9a49d6618cf6a754fab00c1f2cbf8b026657a83",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-07-18T18:52:58Z",
    "title_canon_sha256": "f374f3ea02c91158fb0bec3a251f06b788d7d884d7f1bdae9dcc6b256d9db838"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07102",
    "kind": "arxiv",
    "version": 5
  }
}